001/* 002 * $Id: SolvableGroebnerBaseSeq.java 5294 2015-08-06 20:51:47Z kredel $ 003 */ 004 005package edu.jas.gb; 006 007 008import java.util.ArrayList; 009import java.util.List; 010import java.util.ListIterator; 011 012import org.apache.log4j.Logger; 013 014import edu.jas.poly.ExpVector; 015import edu.jas.poly.GenPolynomial; 016import edu.jas.poly.GenSolvablePolynomial; 017import edu.jas.poly.GenSolvablePolynomialRing; 018import edu.jas.poly.QLRSolvablePolynomialRing; 019import edu.jas.poly.PolyUtil; 020import edu.jas.poly.PolynomialList; 021import edu.jas.structure.RingElem; 022 023 024/** 025 * Solvable Groebner bases sequential algorithms. Implements common left, right 026 * and twosided Groebner bases and left, right and twosided GB tests. 027 * @param <C> coefficient type 028 * @author Heinz Kredel. 029 */ 030 031public class SolvableGroebnerBaseSeq<C extends RingElem<C>> extends SolvableGroebnerBaseAbstract<C> { 032 033 034 private static final Logger logger = Logger.getLogger(SolvableGroebnerBaseSeq.class); 035 036 037 private final boolean debug = logger.isDebugEnabled(); 038 039 040 /** 041 * Constructor. 042 */ 043 public SolvableGroebnerBaseSeq() { 044 super(); 045 } 046 047 048 /** 049 * Constructor. 050 * @param sred Solvable reduction engine 051 */ 052 public SolvableGroebnerBaseSeq(SolvableReduction<C> sred) { 053 super(sred); 054 } 055 056 057 /** 058 * Constructor. 059 * @param pl pair selection strategy 060 */ 061 public SolvableGroebnerBaseSeq(PairList<C> pl) { 062 super(pl); 063 } 064 065 066 /** 067 * Constructor. 068 * @param sred Solvable reduction engine 069 * @param pl pair selection strategy 070 */ 071 public SolvableGroebnerBaseSeq(SolvableReduction<C> sred, PairList<C> pl) { 072 super(sred, pl); 073 } 074 075 076 /** 077 * Left Groebner base using pairlist class. 078 * @param modv number of module variables. 079 * @param F solvable polynomial list. 080 * @return leftGB(F) a left Groebner base of F. 081 */ 082 @SuppressWarnings("unchecked") 083 public List<GenSolvablePolynomial<C>> leftGB(int modv, List<GenSolvablePolynomial<C>> F) { 084 List<GenSolvablePolynomial<C>> G = normalizeZerosOnes(F); 085 G = PolynomialList.castToSolvableList(PolyUtil.<C> monic(PolynomialList.castToList(G))); 086 if (G.size() <= 1) { 087 return G; 088 } 089 GenSolvablePolynomialRing<C> ring = G.get(0).ring; 090 if (!ring.coFac.isField() && ring.coFac.isCommutative()) { 091 throw new IllegalArgumentException("coefficients not from a field: " + ring.coFac.toScript()); 092 } 093 PairList<C> pairlist = strategy.create(modv, ring); 094 pairlist.put(PolynomialList.castToList(G)); 095 logger.info("start " + pairlist); 096 097 GenSolvablePolynomial<C> pi, pj, S, H; 098 Pair<C> pair; 099 while (pairlist.hasNext()) { 100 pair = pairlist.removeNext(); 101 if (pair == null) { 102 continue; 103 } 104 pi = (GenSolvablePolynomial<C>) pair.pi; 105 pj = (GenSolvablePolynomial<C>) pair.pj; 106 if (debug) { 107 logger.info("pi = " + pi.leadingExpVector()); 108 logger.info("pj = " + pj.leadingExpVector()); 109 } 110 111 S = sred.leftSPolynomial(pi, pj); 112 if (S.isZERO()) { 113 pair.setZero(); 114 continue; 115 } 116 if (debug) { 117 logger.info("ht(S) = " + S.leadingExpVector()); 118 } 119 120 H = sred.leftNormalform(G, S); 121 if (H.isZERO()) { 122 pair.setZero(); 123 continue; 124 } 125 if (debug) { 126 logger.info("ht(H) = " + H.leadingExpVector()); 127 //logger.info("ht(H) = " + H.leadingExpVector() + ", lc(H) = " + H.leadingBaseCoefficient().toScript()); 128 } 129 130 H = H.monic(); 131 if (H.isONE()) { 132 G.clear(); 133 G.add(H); 134 return G; // since no threads are activated 135 } 136 if (debug) { 137 // logger.info("H = " + H); 138 logger.info("#monic(H) = " + H.length()); 139 } 140 if (H.length() > 0) { 141 //l++; 142 G.add(H); 143 pairlist.put(H); 144 } 145 } 146 logger.debug("#sequential list = " + G.size()); 147 G = leftMinimalGB(G); 148 logger.info("end " + pairlist); 149 return G; 150 } 151 152 153 /** 154 * Solvable Extended Groebner base using critical pair class. 155 * @param modv module variable number. 156 * @param F solvable polynomial list. 157 * @return a container for an extended left Groebner base of F. 158 */ 159 @Override 160 @SuppressWarnings("unchecked") 161 public SolvableExtendedGB<C> extLeftGB(int modv, List<GenSolvablePolynomial<C>> F) { 162 if (F == null || F.isEmpty()) { 163 throw new IllegalArgumentException("null or empty F not allowed"); 164 } 165 List<GenSolvablePolynomial<C>> G = new ArrayList<GenSolvablePolynomial<C>>(); 166 List<List<GenSolvablePolynomial<C>>> F2G = new ArrayList<List<GenSolvablePolynomial<C>>>(); 167 List<List<GenSolvablePolynomial<C>>> G2F = new ArrayList<List<GenSolvablePolynomial<C>>>(); 168 PairList<C> pairlist = null; 169 boolean oneInGB = false; 170 int len = F.size(); 171 172 List<GenSolvablePolynomial<C>> row = null; 173 List<GenSolvablePolynomial<C>> rows = null; 174 List<GenSolvablePolynomial<C>> rowh = null; 175 GenSolvablePolynomialRing<C> ring = null; 176 GenSolvablePolynomial<C> p, H; 177 178 int nzlen = 0; 179 for (GenSolvablePolynomial<C> f : F) { 180 if (f.length() > 0) { 181 nzlen++; 182 } 183 if (ring == null) { 184 ring = f.ring; 185 } 186 } 187 GenSolvablePolynomial<C> mone = ring.getONE(); //.negate(); 188 int k = 0; 189 ListIterator<GenSolvablePolynomial<C>> it = F.listIterator(); 190 while (it.hasNext()) { 191 p = it.next(); 192 if (p.length() > 0) { 193 row = new ArrayList<GenSolvablePolynomial<C>>(nzlen); 194 for (int j = 0; j < nzlen; j++) { 195 row.add(null); 196 } 197 //C c = p.leadingBaseCoefficient(); 198 //c = c.inverse(); 199 //p = p.multiply( c ); 200 row.set(k, mone); //.multiply(c) ); 201 k++; 202 if (p.isUnit()) { 203 G.clear(); 204 G.add(p); 205 G2F.clear(); 206 G2F.add(row); 207 oneInGB = true; 208 break; 209 } 210 G.add(p); 211 G2F.add(row); 212 if (pairlist == null) { 213 //pairlist = new CriticalPairList<C>( modv, p.ring ); 214 pairlist = strategy.create(modv, p.ring); 215 } 216 // putOne not required 217 pairlist.put(p); 218 } else { 219 len--; 220 } 221 } 222 SolvableExtendedGB<C> exgb; 223 if (len <= 1 || oneInGB) { 224 // adjust F2G 225 for (GenSolvablePolynomial<C> f : F) { 226 row = new ArrayList<GenSolvablePolynomial<C>>(G.size()); 227 for (int j = 0; j < G.size(); j++) { 228 row.add(null); 229 } 230 H = sred.leftNormalform(row, G, f); 231 if (!H.isZERO()) { 232 logger.error("nonzero H = " + H); 233 } 234 F2G.add(row); 235 } 236 exgb = new SolvableExtendedGB<C>(F, G, F2G, G2F); 237 //System.out.println("exgb 1 = " + exgb); 238 return exgb; 239 } 240 logger.info("start " + pairlist); 241 242 Pair<C> pair; 243 int i, j; 244 GenSolvablePolynomial<C> pi, pj, S, x, y; 245 //GenPolynomial<C> z; 246 while (pairlist.hasNext() && !oneInGB) { 247 pair = pairlist.removeNext(); 248 if (pair == null) { 249 //pairlist.update(); // ? 250 continue; 251 } 252 i = pair.i; 253 j = pair.j; 254 pi = (GenSolvablePolynomial<C>) pair.pi; 255 pj = (GenSolvablePolynomial<C>) pair.pj; 256 if (debug) { 257 logger.info("i, pi = " + i + ", " + pi); 258 logger.info("j, pj = " + j + ", " + pj); 259 } 260 261 rows = new ArrayList<GenSolvablePolynomial<C>>(G.size()); 262 for (int m = 0; m < G.size(); m++) { 263 rows.add(null); 264 } 265 S = sred.leftSPolynomial(rows, i, pi, j, pj); 266 if (debug) { 267 logger.debug("is reduction S = " + sred.isLeftReductionNF(rows, G, ring.getZERO(), S)); 268 } 269 if (S.isZERO()) { 270 pair.setZero(); 271 //pairlist.update( pair, S ); 272 // do not add to G2F 273 continue; 274 } 275 if (debug) { 276 logger.debug("ht(S) = " + S.leadingExpVector()); 277 } 278 279 rowh = new ArrayList<GenSolvablePolynomial<C>>(G.size()); 280 for (int m = 0; m < G.size(); m++) { 281 rowh.add(null); 282 } 283 H = sred.leftNormalform(rowh, G, S); 284 if (debug) { 285 //System.out.println("H = " + H); 286 logger.debug("is reduction H = " + sred.isLeftReductionNF(rowh, G, S, H)); 287 } 288 if (H.isZERO()) { 289 pair.setZero(); 290 //pairlist.update( pair, H ); 291 // do not add to G2F 292 continue; 293 } 294 if (debug) { 295 logger.debug("ht(H) = " + H.leadingExpVector()); 296 } 297 298 row = new ArrayList<GenSolvablePolynomial<C>>(G.size() + 1); 299 for (int m = 0; m < G.size(); m++) { 300 x = rows.get(m); 301 if (x != null) { 302 //System.out.println("ms = " + m + " " + x); 303 x = (GenSolvablePolynomial<C>) x.negate(); 304 } 305 y = rowh.get(m); 306 if (y != null) { 307 y = (GenSolvablePolynomial<C>) y.negate(); 308 //System.out.println("mh = " + m + " " + y); 309 } 310 if (x == null) { 311 x = y; 312 } else { 313 x = (GenSolvablePolynomial<C>) x.sum(y); 314 } 315 //System.out.println("mx = " + m + " " + x); 316 row.add(x); 317 } 318 if (debug) { 319 logger.debug("is reduction 0+sum(row,G) == H : " 320 + sred.isLeftReductionNF(row, G, H, ring.getZERO())); 321 } 322 row.add(null); 323 324 // H = H.monic(); 325 C c = H.leadingBaseCoefficient(); 326 c = c.inverse(); 327 H = H.multiply(c); 328 // 1*c*row, leads to wrong method dispatch: 329 row = PolynomialList.<C> castToSolvableList(blas.scalarProduct(mone.multiply(c), 330 PolynomialList.<C> castToList(row))); 331 row.set(G.size(), mone); 332 if (H.isONE()) { 333 // pairlist.record( pair, H ); 334 // G.clear(); 335 G.add(H); 336 G2F.add(row); 337 oneInGB = true; 338 break; 339 } 340 if (debug) { 341 logger.debug("H = " + H); 342 } 343 G.add(H); 344 //pairlist.update( pair, H ); 345 pairlist.put(H); 346 G2F.add(row); 347 } 348 if (debug) { 349 exgb = new SolvableExtendedGB<C>(F, G, F2G, G2F); 350 logger.info("exgb unnorm = " + exgb); 351 } 352 G2F = normalizeMatrix(F.size(), G2F); 353 if (debug) { 354 exgb = new SolvableExtendedGB<C>(F, G, F2G, G2F); 355 logger.info("exgb nonmin = " + exgb); 356 boolean t2 = isLeftReductionMatrix(exgb); 357 logger.debug("exgb t2 = " + t2); 358 } 359 exgb = minimalSolvableExtendedGB(F.size(), G, G2F); 360 G = exgb.G; 361 G2F = exgb.G2F; 362 logger.debug("#sequential list = " + G.size()); 363 logger.info("end " + pairlist); 364 // setup matrices F and F2G 365 for (GenSolvablePolynomial<C> f : F) { 366 row = new ArrayList<GenSolvablePolynomial<C>>(G.size()); 367 for (int m = 0; m < G.size(); m++) { 368 row.add(null); 369 } 370 H = sred.leftNormalform(row, G, f); 371 if (!H.isZERO()) { 372 logger.error("nonzero H = " + H); 373 } 374 F2G.add(row); 375 } 376 logger.info("extGB end"); 377 return new SolvableExtendedGB<C>(F, G, F2G, G2F); 378 } 379 380 381 /** 382 * Twosided Groebner base using pairlist class. 383 * @param modv number of module variables. 384 * @param Fp solvable polynomial list. 385 * @return tsGB(Fp) a twosided Groebner base of Fp. 386 */ 387 @SuppressWarnings("unchecked") 388 public List<GenSolvablePolynomial<C>> twosidedGB(int modv, List<GenSolvablePolynomial<C>> Fp) { 389 List<GenSolvablePolynomial<C>> F = normalizeZerosOnes(Fp); 390 F = PolynomialList.castToSolvableList(PolyUtil.<C> monic(PolynomialList.castToList(F))); 391 if (F.size() < 1) { // 0 not 1 392 return F; 393 } 394 if (F.size() == 1 && F.get(0).isONE()) { 395 return F; 396 } 397 GenSolvablePolynomialRing<C> ring = F.get(0).ring; 398 if (!ring.coFac.isField() && ring.coFac.isCommutative()) { 399 throw new IllegalArgumentException("coefficients not from a field"); 400 } 401 // add also coefficient generators 402 List<GenSolvablePolynomial<C>> X; 403 X = PolynomialList.castToSolvableList(ring.generators(modv)); 404 logger.info("right multipliers = " + X); 405 List<GenSolvablePolynomial<C>> G = new ArrayList<GenSolvablePolynomial<C>>(F.size() * (1 + X.size())); 406 G.addAll(F); 407 logger.info("right multipy: G = " + G); 408 GenSolvablePolynomial<C> p, q; 409 for (int i = 0; i < G.size(); i++) { // G changes 410 p = G.get(i); 411 for (GenSolvablePolynomial<C> x : X) { 412 //x = X.get(j); 413 if (x.isONE()) { 414 continue; 415 } 416 q = p.multiply(x); 417 logger.info("right multipy: p = " + p + ", x = " + x + ", q = " + q); 418 q = sred.leftNormalform(G, q); 419 q = q.monic(); 420 logger.info("right multipy: red(q) = " + q); 421 if (!q.isZERO()) { 422 //System.out.println("q generating: = " + q + ", p = " + p + ", x = " + x); 423 if (q.isONE()) { 424 //System.out.println("G generated so far: " + G); 425 G.clear(); 426 G.add(q); 427 return G; // since no threads are activated 428 } 429 if (!G.contains(q)) { // why? 430 G.add(q); 431 } else { 432 logger.info("right multipy contained: q = " + q); 433 } 434 } 435 } 436 } 437 //System.out.println("G generated = " + G); 438 PairList<C> pairlist = strategy.create(modv, ring); 439 pairlist.put(PolynomialList.castToList(G)); 440 441 if (G.size() <= 1) { // 1 ok 442 return G; // since no threads are activated 443 } 444 logger.info("twosided start " + pairlist); 445 446 Pair<C> pair; 447 GenSolvablePolynomial<C> pi, pj, S, H; 448 while (pairlist.hasNext()) { 449 pair = pairlist.removeNext(); 450 if (pair == null) { 451 continue; 452 } 453 454 pi = (GenSolvablePolynomial<C>) pair.pi; 455 pj = (GenSolvablePolynomial<C>) pair.pj; 456 if (debug) { 457 logger.debug("pi = " + pi); 458 logger.debug("pj = " + pj); 459 } 460 461 S = sred.leftSPolynomial(pi, pj); 462 if (S.isZERO()) { 463 pair.setZero(); 464 continue; 465 } 466 if (debug) { 467 logger.debug("ht(S) = " + S.leadingExpVector()); 468 } 469 470 H = sred.leftNormalform(G, S); 471 if (H.isZERO()) { 472 pair.setZero(); 473 continue; 474 } 475 if (debug) { 476 logger.debug("ht(H) = " + H.leadingExpVector()); 477 } 478 479 H = H.monic(); 480 if (H.isONE()) { 481 G.clear(); 482 G.add(H); 483 return G; // since no threads are activated 484 } 485 if (debug) { 486 logger.debug("H = " + H); 487 } 488 if (H.length() > 0) { 489 G.add(H); 490 pairlist.put(H); 491 //System.out.println("H generated = " + H); 492 for (GenSolvablePolynomial<C> x : X) { 493 //x = X.get(j); 494 if (x.isONE()) { 495 continue; 496 } 497 q = H.multiply(x); 498 p = sred.leftNormalform(G, q); 499 if (!p.isZERO()) { 500 //System.out.println("p generated = " + p + ", x = " + x); 501 p = p.monic(); 502 if (p.isONE()) { 503 G.clear(); 504 G.add(p); 505 return G; // since no threads are activated 506 } 507 G.add(p); 508 pairlist.put(p); 509 } 510 } 511 //System.out.println("G generated = " + G); 512 } 513 } 514 logger.debug("#sequential list = " + G.size()); 515 G = leftMinimalGB(G); 516 logger.info("twosided end " + pairlist); 517 return G; 518 } 519 520 521 /** 522 * Normalize M. Make all rows the same size and make certain column elements 523 * zero. 524 * @param M a reduction matrix. 525 * @return normalized M. 526 */ 527 public List<List<GenSolvablePolynomial<C>>> normalizeMatrix(int flen, 528 List<List<GenSolvablePolynomial<C>>> M) { 529 if (M == null) { 530 return M; 531 } 532 if (M.size() == 0) { 533 return M; 534 } 535 List<List<GenSolvablePolynomial<C>>> N = new ArrayList<List<GenSolvablePolynomial<C>>>(); 536 List<List<GenSolvablePolynomial<C>>> K = new ArrayList<List<GenSolvablePolynomial<C>>>(); 537 int len = M.get(M.size() - 1).size(); // longest row 538 // pad / extend rows 539 for (List<GenSolvablePolynomial<C>> row : M) { 540 List<GenSolvablePolynomial<C>> nrow = new ArrayList<GenSolvablePolynomial<C>>(row); 541 for (int i = row.size(); i < len; i++) { 542 nrow.add(null); 543 } 544 N.add(nrow); 545 } 546 // System.out.println("norm N fill = " + N); 547 // make zero columns 548 int k = flen; 549 for (int i = 0; i < N.size(); i++) { // 0 550 List<GenSolvablePolynomial<C>> row = N.get(i); 551 if (debug) { 552 logger.info("row = " + row); 553 } 554 K.add(row); 555 if (i < flen) { // skip identity part 556 continue; 557 } 558 List<GenSolvablePolynomial<C>> xrow; 559 GenSolvablePolynomial<C> a; 560 //System.out.println("norm i = " + i); 561 for (int j = i + 1; j < N.size(); j++) { 562 List<GenSolvablePolynomial<C>> nrow = N.get(j); 563 //System.out.println("nrow j = " +j + ", " + nrow); 564 if (k < nrow.size()) { // always true 565 a = nrow.get(k); 566 //System.out.println("k, a = " + k + ", " + a); 567 if (a != null && !a.isZERO()) { // a*row + nrow, leads to wrong method dispatch 568 List<GenPolynomial<C>> yrow = blas.scalarProduct(a, 569 PolynomialList.<C> castToList(row)); 570 yrow = blas.vectorAdd(yrow, PolynomialList.<C> castToList(nrow)); 571 xrow = PolynomialList.<C> castToSolvableList(yrow); 572 N.set(j, xrow); 573 } 574 } 575 } 576 k++; 577 } 578 //System.out.println("norm K reduc = " + K); 579 // truncate 580 N.clear(); 581 for (List<GenSolvablePolynomial<C>> row : K) { 582 List<GenSolvablePolynomial<C>> tr = new ArrayList<GenSolvablePolynomial<C>>(); 583 for (int i = 0; i < flen; i++) { 584 tr.add(row.get(i)); 585 } 586 N.add(tr); 587 } 588 K = N; 589 //System.out.println("norm K trunc = " + K); 590 return K; 591 } 592 593 594 /** 595 * Test if M is a left reduction matrix. 596 * @param exgb an SolvableExtendedGB container. 597 * @return true, if exgb contains a left reduction matrix, else false. 598 */ 599 @Override 600 public boolean isLeftReductionMatrix(SolvableExtendedGB<C> exgb) { 601 if (exgb == null) { 602 return true; 603 } 604 return isLeftReductionMatrix(exgb.F, exgb.G, exgb.F2G, exgb.G2F); 605 } 606 607 608 /** 609 * Minimal solvable extended groebner basis. 610 * @param Gp a left Groebner base. 611 * @param M a left reduction matrix, is modified. 612 * @return a (partially) reduced left Groebner base of Gp in a container. 613 */ 614 public SolvableExtendedGB<C> minimalSolvableExtendedGB(int flen, List<GenSolvablePolynomial<C>> Gp, 615 List<List<GenSolvablePolynomial<C>>> M) { 616 if (Gp == null) { 617 return null; //new SolvableExtendedGB<C>(null,Gp,null,M); 618 } 619 if (Gp.size() <= 1) { 620 return new SolvableExtendedGB<C>(null, Gp, null, M); 621 } 622 List<GenSolvablePolynomial<C>> G; 623 List<GenSolvablePolynomial<C>> F; 624 G = new ArrayList<GenSolvablePolynomial<C>>(Gp); 625 F = new ArrayList<GenSolvablePolynomial<C>>(Gp.size()); 626 627 List<List<GenSolvablePolynomial<C>>> Mg; 628 List<List<GenSolvablePolynomial<C>>> Mf; 629 Mg = new ArrayList<List<GenSolvablePolynomial<C>>>(M.size()); 630 Mf = new ArrayList<List<GenSolvablePolynomial<C>>>(M.size()); 631 List<GenSolvablePolynomial<C>> row; 632 for (List<GenSolvablePolynomial<C>> r : M) { 633 // must be copied also 634 row = new ArrayList<GenSolvablePolynomial<C>>(r); 635 Mg.add(row); 636 } 637 row = null; 638 639 GenSolvablePolynomial<C> a; 640 ExpVector e; 641 ExpVector f; 642 GenSolvablePolynomial<C> p; 643 boolean mt; 644 ListIterator<GenSolvablePolynomial<C>> it; 645 ArrayList<Integer> ix = new ArrayList<Integer>(); 646 ArrayList<Integer> jx = new ArrayList<Integer>(); 647 int k = 0; 648 //System.out.println("flen, Gp, M = " + flen + ", " + Gp.size() + ", " + M.size() ); 649 while (G.size() > 0) { 650 a = G.remove(0); 651 e = a.leadingExpVector(); 652 653 it = G.listIterator(); 654 mt = false; 655 while (it.hasNext() && !mt) { 656 p = it.next(); 657 f = p.leadingExpVector(); 658 mt = e.multipleOf(f); 659 } 660 it = F.listIterator(); 661 while (it.hasNext() && !mt) { 662 p = it.next(); 663 f = p.leadingExpVector(); 664 mt = e.multipleOf(f); 665 } 666 //System.out.println("k, mt = " + k + ", " + mt); 667 if (!mt) { 668 F.add(a); 669 ix.add(k); 670 } else { // drop polynomial and corresponding row and column 671 // F.add( a.ring.getZERO() ); 672 jx.add(k); 673 } 674 k++; 675 } 676 if (debug) { 677 logger.debug("ix, #M, jx = " + ix + ", " + Mg.size() + ", " + jx); 678 } 679 int fix = -1; // copied polys 680 // copy Mg to Mf as indicated by ix 681 for (int i = 0; i < ix.size(); i++) { 682 int u = ix.get(i); 683 if (u >= flen && fix == -1) { 684 fix = Mf.size(); 685 } 686 //System.out.println("copy u, fix = " + u + ", " + fix); 687 if (u >= 0) { 688 row = Mg.get(u); 689 Mf.add(row); 690 } 691 } 692 if (F.size() <= 1 || fix == -1) { 693 return new SolvableExtendedGB<C>(null, F, null, Mf); 694 } 695 // must return, since extended normalform has not correct order of polys 696 /* 697 G = F; 698 F = new ArrayList<GenSolvablePolynomial<C>>( G.size() ); 699 List<GenSolvablePolynomial<C>> temp; 700 k = 0; 701 final int len = G.size(); 702 while ( G.size() > 0 ) { 703 a = G.remove(0); 704 if ( k >= fix ) { // dont touch copied polys 705 row = Mf.get( k ); 706 //System.out.println("doing k = " + k + ", " + a); 707 // must keep order, but removed polys missing 708 temp = new ArrayList<GenPolynomial<C>>( len ); 709 temp.addAll( F ); 710 temp.add( a.ring.getZERO() ); // ?? 711 temp.addAll( G ); 712 //System.out.println("row before = " + row); 713 a = sred.leftNormalform( row, temp, a ); 714 //System.out.println("row after = " + row); 715 } 716 F.add( a ); 717 k++; 718 } 719 // does Mf need renormalization? 720 */ 721 return new SolvableExtendedGB<C>(null, F, null, Mf); 722 } 723 724 725 /** 726 * Right Groebner base using pairlist class. Overides rightGB() via opposite 727 * ring. 728 * @param modv number of module variables. 729 * @param F solvable polynomial list. 730 * @return rightGB(F) a right Groebner base of F. 731 */ 732 @Override 733 @SuppressWarnings("unchecked") 734 public List<GenSolvablePolynomial<C>> rightGB(int modv, List<GenSolvablePolynomial<C>> F) { 735 List<GenSolvablePolynomial<C>> G = normalizeZerosOnes(F); 736 G = PolynomialList.castToSolvableList(PolyUtil.<C> monic(PolynomialList.castToList(G))); 737 if (G.size() <= 1) { 738 return G; 739 } 740 GenSolvablePolynomialRing<C> ring = G.get(0).ring; 741 if (!ring.coFac.isField() && ring.coFac.isCommutative()) { 742 throw new IllegalArgumentException("coefficients not from a field"); 743 } 744 PairList<C> pairlist = strategy.create(modv, ring); 745 pairlist.put(PolynomialList.castToList(G)); 746 logger.info("start " + pairlist); 747 748 GenSolvablePolynomial<C> pi, pj, S, H; 749 Pair<C> pair; 750 while (pairlist.hasNext()) { 751 pair = pairlist.removeNext(); 752 if (pair == null) { 753 continue; 754 } 755 pi = (GenSolvablePolynomial<C>) pair.pi; 756 pj = (GenSolvablePolynomial<C>) pair.pj; 757 if (debug) { 758 logger.info("pi = " + pi); 759 logger.info("pj = " + pj); 760 } 761 762 S = sred.rightSPolynomial(pi, pj); 763 if (S.isZERO()) { 764 pair.setZero(); 765 continue; 766 } 767 if (debug) { 768 logger.info("ht(S) = " + S.leadingExpVector()); 769 } 770 771 H = sred.rightNormalform(G, S); 772 if (H.isZERO()) { 773 pair.setZero(); 774 continue; 775 } 776 if (debug) { 777 logger.info("ht(H) = " + H.leadingExpVector()); 778 } 779 780 H = H.monic(); 781 if (H.isONE()) { 782 G.clear(); 783 G.add(H); 784 return G; // since no threads are activated 785 } 786 if (debug) { 787 logger.info("H = " + H); 788 } 789 if (H.length() > 0) { 790 //l++; 791 G.add(H); 792 pairlist.put(H); 793 } 794 } 795 logger.debug("#sequential list = " + G.size()); 796 G = rightMinimalGB(G); 797 logger.info("end " + pairlist); 798 return G; 799 } 800 801}